Finding the Fourth Proportional to 97,920.96, 146,881.14 and 27,800.32
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Solution
The fourth proportional to 97,920.96, 146,881.14 and 27,800.32 is: 41,700.39
Step by Step Solution
- Step 1: Write the proportion equation
97,920.96 : 146,881.14 = 27,800.32 : x - Step 2: Convert to fraction form
97,920.96/146,881.14 = 27,800.32/x - Step 3: Cross multiply
97,920.96x = 146,881.14 × 27,800.32 - Step 4: Simplify right side
97,920.96x = 4,083,342,693.96 - Step 5: Solve for x
x = 4,083,342,693.96/97,920.96 - Step 6: Final answer
x = 41,700.39
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.